Information on Result #1728333
Linear OOA(8136, 524299, F8, 27, 21) (dual of [(524299, 27), 14155937, 22]-NRT-code), using OOA 4-folding and stacking with additional row based on linear OOA(8136, 2097197, F8, 3, 21) (dual of [(2097197, 3), 6291455, 22]-NRT-code), using
- discarding factors / shortening the dual code based on linear OOA(8136, 2097198, F8, 3, 21) (dual of [(2097198, 3), 6291458, 22]-NRT-code), using
- embedding of OOA with Gilbert–Varšamov bound [i] based on linear OA(8136, 2097198, F8, 21) (dual of [2097198, 2097062, 22]-code), using
- construction X with Varšamov bound [i] based on
- linear OA(8134, 2097194, F8, 21) (dual of [2097194, 2097060, 22]-code), using
- construction X applied to Ce(20) ⊂ Ce(14) [i] based on
- linear OA(8127, 2097152, F8, 21) (dual of [2097152, 2097025, 22]-code), using an extension Ce(20) of the primitive narrow-sense BCH-code C(I) with length 2097151 = 87−1, defining interval I = [1,20], and designed minimum distance d ≥ |I|+1 = 21 [i]
- linear OA(892, 2097152, F8, 15) (dual of [2097152, 2097060, 16]-code), using an extension Ce(14) of the primitive narrow-sense BCH-code C(I) with length 2097151 = 87−1, defining interval I = [1,14], and designed minimum distance d ≥ |I|+1 = 15 [i]
- linear OA(87, 42, F8, 5) (dual of [42, 35, 6]-code), using
- discarding factors / shortening the dual code based on linear OA(87, 57, F8, 5) (dual of [57, 50, 6]-code), using
- construction X applied to Ce(20) ⊂ Ce(14) [i] based on
- linear OA(8134, 2097196, F8, 20) (dual of [2097196, 2097062, 21]-code), using Gilbert–Varšamov bound and bm = 8134 > Vbs−1(k−1) = 121023 789833 573070 970547 361235 879171 146413 601828 082133 331751 289792 497413 050816 988363 889283 307045 254084 047894 790012 617840 [i]
- linear OA(80, 2, F8, 0) (dual of [2, 2, 1]-code), using
- discarding factors / shortening the dual code based on linear OA(80, s, F8, 0) (dual of [s, s, 1]-code) for arbitrarily large s, using
- linear OA(8134, 2097194, F8, 21) (dual of [2097194, 2097060, 22]-code), using
- construction X with Varšamov bound [i] based on
- embedding of OOA with Gilbert–Varšamov bound [i] based on linear OA(8136, 2097198, F8, 21) (dual of [2097198, 2097062, 22]-code), using
Mode: Linear.
Results with these parameters are outside the parameter range considered by MinT and show only up in construction trees.
Other Results with Identical Parameters
None.
Depending Results
The following results depend on this result:
| Result | This result only | Method | ||
|---|---|---|---|---|
| 1 | Digital (115, 136, 524299)-net over F8 | [i] | Net Defined by OOA | |